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A Topological Mirror Symmetry on Noncommutative Complex Two-tori

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Abstract

In this paper, we study a topological mirror symmetry onnoncommutative complex tori. We show that deformation quantizationof an elliptic curve is mirror symmetric to an irrationalrotation algebra. From this, we conclude that a mirror reflectionof a noncommutative complex torus is an elliptic curve equippedwith a Kronecker foliation.

참고문헌 (20)

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